
已知A=2XX+3XY-2X-1,B=-XX+XY-1,且3A+6B的值与x无关,试求y的值
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A = 2x^2 + 3xy - 2x - 1
B = -x^2 + xy - 1
3A + 6B = 3(2x^2 + 3xy - 2x - 1)+6( -x^2 + xy - 1)
= 6x^2 + 9xy - 6x - 3 - 6x^2 + 6xy - 6
= 15xy - 6x - 6
= (15y - 6)x - 6
因为和x无关,所以15y - 6 = 0,y = 2/5
B = -x^2 + xy - 1
3A + 6B = 3(2x^2 + 3xy - 2x - 1)+6( -x^2 + xy - 1)
= 6x^2 + 9xy - 6x - 3 - 6x^2 + 6xy - 6
= 15xy - 6x - 6
= (15y - 6)x - 6
因为和x无关,所以15y - 6 = 0,y = 2/5
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